Extended Fractional-Order Memory Reset Control for Integer-Order LTI Systems and Experimental Demonstration

Abstract In this work we extend the concept of fractional-order memory reset control. A fractional-order controller is applied to an integer-order plant and its memory is deleted periodically. As an extension, the controller state itself is reset, based on the reference and the error signal. The closed loop can be represented by a fractional-order hybrid system with induced discrete dynamics. These are used to tune the reset law and to prove exponential stability. By means of the extended reset strategy the reset intervals can be reduced, such that less memory is needed to implement the fractional-order operators. Furthermore, a new approach for the real-time implementation of memory reset controllers is presented that achieves a decrease of the numerical error. All results are validated by simulations and experimentally.